Titlebook: A Study of Braids; Kunio Murasugi,Bohdan I. Kurpita Book 1999 Springer Science+Business Media Dordrecht 1999 Group theory.Homotopy.Mathema

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https://doi.org/10.1007/978-94-009-3659-1e of the cube twice around a vertical axis that connects the centre of the top face with the centre of the bottom face. On completion of this double twist, the trivial braid (in the cube) now has the look of an entangled braid. In fact, in terms of the Artin generators this new braid, . say, in . ca

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Marking mammals by tissue removaltry and establish the braid group for the more general case of manifolds in dimensions greater than or equal to 2, we need a more methodical approach. Such an approach exists and has been developed in [FoN] and [FaV]. Somewhat unexpectedly, this approach allows us to apply braid theory to the solvab

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Christoph Brücker,Horst BleckmannIn Theorem 2.2 of Chapter 2 we showed that B. has a particularly readable/compact presentation. But, since the subgroup B. of the braid group B. is of infinite order, B. for n ≥ 2 is not a finite group.

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Kaushalendra Kumar,Vinod Kumar PaswanA knot, succinctly, is a simple closed . curve in ℝ., however, for the purposes of this book, we will usually think of a knot as a simple closed . curve, see Figure 1.1.

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Developments in Plant and Soil SciencesIn Section 4 of the previous chapter, starting with a diagram . of an oriented knot ., we described a method that allowed us to find a separating simple closed curve . on the plane ℝ.. This, in turn, led to a braided link (., .), which we then used to extract a braid .. Coming full circle, the closure of ., denoted by ., is equivalent to ..